What is the Greatest Common Factor of 76725 and 76736?

Greatest common factor (GCF) of 76725 and 76736 is 11.

GCF(76725,76736) = 11

We will now calculate the prime factors of 76725 and 76736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76725 and 76736.

How to find the GCF of 76725 and 76736?

We will first find the prime factorization of 76725 and 76736. After we will calculate the factors of 76725 and 76736 and find the biggest common factor number .

Step-1: Prime Factorization of 76725

Prime factors of 76725 are 3, 5, 11, 31. Prime factorization of 76725 in exponential form is:

76725 = 3² × 5² × 11¹ × 31¹

Step-2: Prime Factorization of 76736

Prime factors of 76736 are 2, 11, 109. Prime factorization of 76736 in exponential form is:

76736 = 2⁶ × 11¹ × 109¹

Step-3: Factors of 76725

List of positive integer factors of 76725 that divides 76725 without a remainder.

1, 3, 5, 9, 11, 15, 25, 31, 33, 45, 55, 75, 93, 99, 155, 165, 225, 275, 279, 341, 465, 495, 775, 825, 1023, 1395, 1705, 2325, 2475, 3069, 5115, 6975, 8525, 15345, 25575

Step-4: Factors of 76736

List of positive integer factors of 76736 that divides 76725 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 109, 176, 218, 352, 436, 704, 872, 1199, 1744, 2398, 3488, 4796, 6976, 9592, 19184, 38368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76725 and 76736. The biggest common factor number is the GCF number.
So the greatest common factor 76725 and 76736 is 11.

Also check out the Least Common Multiple of 76725 and 76736